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Critical behavior of Hall conductivity and magnetoconductivity near the percolation threshold in granular Sn:Ar mixtures

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  • Rohde, M.
  • Micklitz, H.

Abstract

We have measured the Hall conductivity and the magnetoconductivity on the metallic side of the metal insulator transition (MIT) in a three dimensional (3D) percolating system, namely the metal rare gas mixture Sn:Ar. The Hall constant RH diverges as RH ∝ (ν − νc)−g with the critical volume fraction νc = 0.26 ± 0.01 and the critical exponent g = 0.49 ± 0.07. The magnetoconductivity Δσ scales as −Δσ ∝ (ν − νc)t′ with critical exponent t′ = 1.9 ± 0.15, which is slightly larger than the conductivity exponent t = 1.6 ± 0.1. The experimental value of g agrees quite well with the value obtained by Monte Carlo simulation, whereas the observed difference between t and t′ is in contradiction to theory.

Suggested Citation

  • Rohde, M. & Micklitz, H., 1989. "Critical behavior of Hall conductivity and magnetoconductivity near the percolation threshold in granular Sn:Ar mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 120-124.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:120-124
    DOI: 10.1016/0378-4371(89)90285-9
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    Cited by:

    1. Wu, Junjie & McLachlan, D.S., 1997. "Percolation exponents and threshold in two nearly ideal anisotropic continuum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 360-366.

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